Singular Perturbations of First-Order Hyperbolic Systems with Stiff Source Terms

  title={Singular Perturbations of First-Order Hyperbolic Systems with Stiff Source Terms},
  author={W. A. Yong},
  journal={Journal of Differential Equations},
  • W. Yong
  • Published 10 June 1999
  • Mathematics
  • Journal of Differential Equations
Abstract This work develops a singular perturbation theory for initial-value problems of nonlinear first-order hyperbolic systems with stiff source terms in several space variables. It is observed that under reasonable assumptions, many equations of classical physics of that type admit a structural stability condition . This condition is equivalent to the well-known subcharacteristic condition for one-dimensional 2×2-systems and the well-known time-like condition for one-dimensional scalar… 

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